Answer:
D. The triangles are similar.
Step-by-step explanation:
Two triangles are similar if all 3 angles of one triangle are congruent to all 3 angles of the other triangle.
In triangle PQR, the two known angles are 24° and 100°. Since the sum of the measures of the angles of a triangle is always 180°, this makes the missing angle
180-(24+100) = 180-124 = 56°
In triangle RST, the two known angles are 24° and 56°. This makes the missing angle
180-(24+56) = 180-80 = 100°
This means all 3 angles in PQR are congruent to all 3 angles in RST; this means the triangles are similar.
